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" "I have lately spent some Thoughts relative to the Nature of Light, whether it be subject to the common Laws of Motion. In this particular Newton seems to contradict himself. For in his Principia Sect. 14th he applies the common Laws of Motion to account for Reflection and Refraction, as he does also in one Part of his Optics where he proves the Sine of Incid. to Sine Refr, in a given in a given Ratio. But in another Part he says, “nothing more is requisite for producing all the Variety of Colours and Degrees of Refrangibility than that the Rays of Light be Bodies of different Sizes, the least of which may make Violet, and the Greatest the Red"; this manifestly is not consistent with the Theory of Motion applied to Bodies, where the Magnitude of the Bodies is of no Consequence. Now it is evident that if the common Theory of Motion can be applied to Light, the Red Light must have had the greatest Velocity before Incidence, as it suffers the least Deviation, for if the Vels of all the Difft colour'd Light were equal before Incidence, they must by Newton's Principia Sect. Sect. 8. Prop. 1. have continued equal after, and therefore must have suffered the same Deviation. The Determination of this Point seems to be of considerable Importance, as we so often apply the Theory of Motion to Light.
Samuel Vince (6 April 1749 – 28 November 1821) was an English clergyman, mathematician and astronomer at the University of Cambridge.
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The rapid establishment of Christianity must therefore have been from the conviction which those who embraced it, had of its "Truth and power unto salvation." Christianity at first spread itself amongst the most enlightened nations of the earth - in those places where human learning was in its greatest perfection; and, by the force of the evidence which attended it, amongst such men it gained an establishment. It has been justly observed, that "it happened very providentially to the honour of the Christian religion, that it did not take its rise in the dark illiterate ages of the world, but at a time when arts and sciences were t their height, and when there were men who made it the business of their lives to search after truth and lift the several opinions of the philosophers and wise men, concerning the duty, the end, and chief happiness of reasonable creatures." Both the learned and the ignorant alike embraced its doctrines; the learned were not likely to be deceived in the proofs which were offered; and the same cause undoubtedly operated to produce the effect upon each. But an immediate conversion of the bulk of mankind, can arise only from some proofs of a ddivine authority offering themselves immediately to the senses; the preaching of any new doctrine, if lest to operate only by its own force, would go but a very little way towards the immediate conversion of the gnorant, who have no principle of action but what arises from habit, and whose powers of reasoning are insufficient to correct their errors. When Mahomet was required by his followers to work a miracle for their conviction, he always declined it; he was too cautious to trust to an experiment, the success of which was scarcely whithin the bounds of probablity; he amused his followers with prtended visions, which with the aid afterwards of the civil and military powr; and as the accomplishment of that event was by a few obscure persons, who founded their pretentions upon authority from heaven, we are next to consider, what kind of proofs of their divine commission they offered to the world; and whether they themselves could have been deceived, or mankind could have been deludded by them.